@article{220287a4b6334eee8bea124cba523ee8,
title = "Analysis of a Stabilized CNLF Method with Fast Slow Wave Splittings for Flow Problems",
abstract = "In this work, we study Crank-Nicolson leap-frog (CNLF) methods with fast-slow wave splittings for Navier-Stokes equations (NSE) with a rotation/Coriolis force term, which is a simplification of geophysical flows. We propose a new stabilized CNLF method where the added stabilization completely removes the method's CFL time step condition. A comprehensive stability and error analysis is given. We also prove that for Oseen equations with the rotation term, the unstable mode (for which un+1 + un-1 ≡ 0) of CNLF is asymptotically stable. Numerical results are provided to verify the stability and the convergence of the methods.",
keywords = "CNLF, Fast-Slow Wave Splitting, NSE, Stabilization",
author = "Nan Jiang and Hoang Tran",
note = "Publisher Copyright: {\textcopyright} 2015 by De Gruyter.",
year = "2015",
month = jul,
day = "1",
doi = "10.1515/cmam-2015-0010",
language = "English",
volume = "15",
pages = "307--330",
journal = "Computational Methods in Applied Mathematics",
issn = "1609-4840",
publisher = "De Gruyter",
number = "3",
}